If ( {x}+\sqrt{\overline{1}+\overline{ {x}^{2}}})( {y}+\sqrt{\overline{1}+\overline{ {y}^{2}}})=1, where {x} and {y} are real numbers, then what is the value of ( {x}+ {y})^{2} ?

UPSC CDS 1 2022 Math Paper

Question : 42 of 100

Marks: +1, -0

If (x+√1+x2)(y+√1+y2)=1, where x and y are real numbers, then what is the value of (x+y)2 ?

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